On the number of defining relations for nonfibered kaehler groups

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Título:	On the number of defining relations for nonfibered kaehler groups
Autor/a:	Amorós Torrent, Jaume; Bauer-Catanese, Ingrid
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	We present minimal bounds for the deficiency (least difference between numbers of generators and relations among all presentations of a group) of fundamental groups of quasiprojective manifolds which do not fiber over a curve. The bound is derived from a log version of Castelnuovo-de Franchis theorem and mixed Hodge theory. The previously known case of nonfibered compact Kaehler manifolds is presented in a unified way
Materia(s):	-Analytic spaces -Kähler groups -Espais analítics -Classificació AMS::32 Several complex variables and analytic spaces::32J Compact analytic spaces
Derechos:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Tipo de documento:	Artículo
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